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161148532905297 = 3272557913220719
BaseRepresentation
bin100100101001000001010001…
…000011110101010101010001
3210010120122112022222212000200
4210221001101003311111101
5132110224143410432142
61330422340343205413
745641411604662160
oct4451012103652521
9703518468885020
10161148532905297
114738a788767363
12160a77b9746869
136bbc31a5cb632
142bb18b85673d7
151396c9a9bd64c
hex9290510f5551

161148532905297 has 12 divisors (see below), whose sum is σ = 266022974954880. Its totient is φ = 92084875945848.

The previous prime is 161148532905253. The next prime is 161148532905307. The reversal of 161148532905297 is 792509235841161.

It is a happy number.

161148532905297 is a `hidden beast` number, since 1 + 6 + 1 + 1 + 4 + 8 + 53 + 290 + 5 + 297 = 666.

It is not a de Polignac number, because 161148532905297 - 212 = 161148532901201 is a prime.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63), and also a Moran number because the ratio is a prime number: 2557913220719 = 161148532905297 / (1 + 6 + 1 + 1 + 4 + 8 + 5 + 3 + 2 + 9 + 0 + 5 + 2 + 9 + 7).

It is not an unprimeable number, because it can be changed into a prime (161148532901297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1278956610297 + ... + 1278956610422.

It is an arithmetic number, because the mean of its divisors is an integer number (22168581246240).

It is a 2-persistent number, because it is pandigital, and so is 2⋅161148532905297 = 322297065810594, but 3⋅161148532905297 = 483445598715891 is not.

Almost surely, 2161148532905297 is an apocalyptic number.

It is an amenable number.

161148532905297 is a deficient number, since it is larger than the sum of its proper divisors (104874442049583).

161148532905297 is a wasteful number, since it uses less digits than its factorization.

161148532905297 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2557913220732 (or 2557913220729 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 161148532905297 in words is "one hundred sixty-one trillion, one hundred forty-eight billion, five hundred thirty-two million, nine hundred five thousand, two hundred ninety-seven".

Divisors: 1 3 7 9 21 63 2557913220719 7673739662157 17905392545033 23021218986471 53716177635099 161148532905297